Advertisements
Advertisements
प्रश्न
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
उत्तर
Steps of construction:
Step 1: Draw a line segment XY of 10cm.
Step 2: Draw `∠`DXY =`∠`B = 90°and `∠`FYX = `∠`C = 60°
Step 3: Draw the angle bisectors of`∠` DXY and `∠`EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
∴ Δ ABC is the required triangle
APPEARS IN
संबंधित प्रश्न
Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
An angle of 42.5° can be constructed.
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct the following and give justification:
A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.